A publishing company's cost, in thousands of dollars, is represented by the function C(x)=x+3200 and it's revenue is represented by the function R(x)=3x. Each book is represented by X.

How much will the company profit if they sell 1000 books?

Respuesta :

Answer:

Profit=$16800

Step-by-step explanation:

C(x) = x + 3200

R(x) = 3x

Profit = revenue - cost

= R(x) - C(x)

P(x) = 3x - ( x + 3200 )

= 2x - 3200

Plugging x = 10000

= 2 (10000) - 3200

= 16800

Profit = 16800

The profit for selling 1000 books will be equal to $16800.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. The amount of money earned by any seller on the cost price is called the profit.

The average cost, or how much it generally costs to produce a unit, can be discovered using the cost function. The average cost per unit is calculated by dividing the total cost by the number of units produced.

The given functions are C(x)=x+3200 for the cost and for the revenue the function is R(x)=3x. here, x is represented by the number of books.

By using the functions the value of x will be calculated as below:-

C(x) = x + 3200

R(x) = 3x

Profit = revenue - cost

Profit = R(x) - C(x)

P(x) = 3x - ( x + 3200 )

P(x)= 2x - 3200

Substitute the value of x equal to 10000.

P(x)= 2 (10000) - 3200

P(x)= 16800

Profit = 16800

Therefore, the profit for selling 1000 books will be equal to $16800.

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